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Finding the Third Proportional to 402,482 and 838,036

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Solution

The third proportional to 402,482 and 838,036 is: 1,744,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,482 : 838,036 = 838,036 : x
  2. Step 2: Convert to fraction form
    402,482/838,036 = 838,036/x
  3. Step 3: Cross multiply
    402,482x = 838,036 × 838,036
  4. Step 4: Simplify right side
    402,482x = 702,304,337,296
  5. Step 5: Solve for x
    x = 702,304,337,296/402,482
  6. Step 6: Final answer
    x = 1,744,933.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.